Solve the Problem $| E_ S |$ In Estimating $\int _ { 1 } ^ { 3 } \left( 2 x ^ { 4 } - 2 x \right) d x$

question 400

Multiple Choice

Solve the problem.
-Find an upper bound for $| E_ S |$ in estimating $\int _ { 1 } ^ { 3 } \left( 2 x ^ { 4 } - 2 x \right) d x$ with $n = 6$ steps.

• A) \(\frac { 32 } { 81 }\)
• B) \(\frac { 8 } { 1215 }\)
• C) \(\frac { 4 } { 1215 }\)
• D) 1

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Definitions:

Range

The difference between the highest and lowest scores in a data set, used as a measure of variability.

Stanine

A method of scaling test scores on a nine-point standard scale with a mean of five and a standard deviation of approximately two, used to simplify the interpretation of test results.

Normal Curve

A bell-shaped curve that represents the distribution of a set of data where most occurrences take place in the middle of the range.

Standard Deviation

A statistical measurement that quantifies the dispersion or spread of a set of data points around the mean.